Odpowiedź:
Szczegółowe wyjaśnienie:
a)
7,0(41) = 7 + 0,0(41) = 7 + 1/10 * 0,(41) = 7 + 1/10 * 41/99 = 7 + 41/990 =
= (7*990+41)/99 = (6930+41)/99 = 6971/99
b)
8,(123) = 8 + 0,(123) = 8 + 123/999 = (8*999 + 123)/999 = (7992+123)/999=
= 8115/999 = 2705/333
c)
2,0(5) = 2 + 0,0(5) = 2 + 1/10 * 0,(5) = 2 + 1/10 * 5/9 = 2 + 5/90 =
= 2 + 1/18 = 36/18 + 1/18 = 37/18